CN107633152A - Ferguson cam mechanism Kinematics Simulation method based on Creo, ADAMS environment - Google Patents
Ferguson cam mechanism Kinematics Simulation method based on Creo, ADAMS environment Download PDFInfo
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Abstract
The present invention relates to a kind of ferguson cam mechanism Kinematics Simulation method based on Creo, ADAMS environment, utilize Creo, ADAMS Dummy modeling copying, only the design parameter of dummy model or relative position parameter, which need to be changed, can carry out motion simulation, physical model need not be established, reduce experimentation cost, shorten the production cycle, save processing and manufacturing expense;This method provides data reference for the interference checking of Design of Globoidal Indexing Cam, error correction for fit-up gap compensation and the digital control processing of ferguson cam mechanism provides theoretical foundation, this method incorporation engineering application, kinematics analysis is carried out to ferguson cam mechanism, efficiently, kinetic characteristic curve is accurately drawn, important reference is provided for the optimization design of later arc surfaced indexing cam.
Description
Technical field
The invention belongs to ferguson cam mechanism Kinematics Simulation technical field, more particularly to one kind based on Creo,
The ferguson cam mechanism Kinematics Simulation method of ADAMS environment.
Background technology
Ferguson cam mechanism includes arc surfaced indexing cam, index dial and roller, arc surfaced indexing cam working profile
It is difficult to be expressed with conventional mechanical drawing method for space Irregular Boundary Surface, and the transmission process of ferguson cam mechanism is answered
It is miscellaneous, such as its kinematics characteristic is solved with the methods of traditional analytic approach, diagram method, experimental method, it is necessary to substantial amounts of manpower and materials, and
And the calculation formula that demand solution is cumbersome, result of calculation poor accuracy, kinematics analysis result be not directly perceived.
The content of the invention
The present invention provides a kind of arc based on Creo, ADAMS environment to solve technical problem present in known technology
Face indexing cam mechanism Kinematics Simulation method.
The present invention is adopted the technical scheme that to solve technical problem present in known technology:
A kind of ferguson cam mechanism Kinematics Simulation method based on Creo, ADAMS environment, it is characterised in that:Bag
Include following steps:
Step 1, established based on Creo softwares arc surfaced indexing cam model, the index dial model of ferguson cam mechanism with
And roller model, and assemble, output is preserved with * .x_t form;
Step 2, the assembling models of the * .x_t forms in step 1 imported in ADAMS softwares, and add model attributes, built
Vertical ferguson cam mechanism simulation virtual PM prototype model;2.1) added material attribute:Arc surfaced indexing cam is set respectively and divided
The material properties of scale are steel;2.2) kinematic pair is added:According to the kinetic characteristic of ferguson cam mechanism, in ADAMS/
In View modules, with 2Bodies-1Location method, set turn respectively on arc surfaced indexing cam and index dial respectively
Dynamic secondary R1 and R2;2.3) addition driving:Rotation driving MOTION_1 is added in revolute pair R1, MOTION_1 direction and cambered surface point
The steering for spending cam is consistent;2.4) rigid body contact force is added:The roller for choosing arc surfaced indexing cam and index dial is taken up in order of priority,
Contact force CONTACT_1 is added between the two;
Step 3, with ADAMS/Simulation modules the ferguson cam mechanism that is established in step 2 is emulated it is empty
Intend PM prototype model and carry out simulation parameter setting, and carry out Kinematics Simulation:3.1) Simulation Control parameter is set, it is convex to arc indexing
Simulation time, material calculation, the simulation type of wheel mechanism are set;
Step 4, output campaign simulation result:Arc surfaced indexing cam is established in ADAMS/PostProcessor modules
The angular speed kinematics curve of index dial in mechanism, and preserved and exported with * .GIF forms.
The present invention can also use following technical measures:
Based on the modeling method of Creo software arc surfaced indexing cams, carry out as follows:
Step 1-1, the foundation of cambered surface cam mechanism coordinate system:The fixed coordinate system of ferguson cam mechanism is established respectively
O1-X1Y1Z1With fixed coordinate system O2-X2Y2Z2, fixed coordinate system O1-X1Y1Z1Origin O1It is fixed at cam revolving center
Coordinate system O2-X2Y2Z2Origin O2At the center of rotation of index dial;Wherein fixed coordinate system O1-X1Y1Z1Middle reference axis X1
Be oriented parallel to O2O1And with it in the same direction, Z1Direction determine that the i.e. right hand holds camshaft by the right-hand rule, four refer to point to
Cam steering is identical, and now thumb direction is Z1Direction;Fixed coordinate system O2-X2Y2Z2Middle reference axis X2Direction it is parallel
In O2O1And with its cocurrent and parallel in O2O1And with it in the same direction, Y2Be oriented parallel to Z1It is and in the same direction with it;Establish moving coordinate system o1-
x1y1z1With moving coordinate system o2-x2y2z2, moving coordinate system o1-x1y1z1It is fixed on cam and is rotated with the rotation of cam, moving axes
It is o1-x1y1z1Origin o1At the center of rotation of cam, moving coordinate system o1-x1y1z1Reference axis x1、y1、z1Inceptive direction
Respectively with fixed coordinate system O1-X1Y1Z1Reference axis X1、Y1、Z1It is identical;Moving coordinate system o2-x2y2z2Be fixed on index dial and with point
The rotation of scale and rotate, moving coordinate system o2-x2y2z2Origin o2At the center of rotation of index dial, moving coordinate system o2-
x2y2z2Reference axis x2Rotation axis collinear with indexing disc rotor No.2, direction is by o2Point to indexing disc rotor No.2, reference axis
z2Parallel to Z2It is and in the same direction with it;When angular displacement of the cam is θ, x1With X1Between angle be θ;x2With X2Between angle
For;
Step 1-2, the RPY rotating coordinate transformation matrixes established between coordinate system:
Moving coordinate system o1-x1y1z1In position fixing system O1-X1Y1Z1In RPY rotating coordinate transformation matrixes be:Wherein s θ represent sin θ, and c θ represent cos θ, and remaining is similarly;Moving coordinate system o2-x2y2z2Determining seat
Mark system O2-X2Y2Z2In RPY rotating coordinate transformation matrixes be:Position fixing system O2-X2Y2Z2
Position fixing system O1-X1Y1Z1In RPY rotating coordinate transformation matrixes be
Step 1-3, establish the coordinate transform constraint equation of arc surfaced indexing cam meshing point and solve
Establish meshing point P on index dial2In position fixing system O2-X2Y2Z2In coordinate transform constraint equation:
Wherein,For the meshing point P on index dial2In moving coordinate system o2Rectangular co-ordinate value in-x2y2z2;
Establish meshing point P on index dial2In position fixing system O1-X1Y1Z1In coordinate transform constraint equation
P1=R (X1,90°)·P2+T (2)
Wherein, P1It is the meshing point on cam in position fixing system O1-X1Y1Z1In expression, For P1In moving coordinate system o1Coordinate in-x1y1z1
Value;T=[- | O1O2| 0 0]T=[- a 0 0], a are cam center with indexing the distance between disk center;
Coordinate transform constraint equation (1) is brought into (2), solution matrix equation, obtains meshing point on cam work profile
Coordinate value:
Step 1-4, arc surfaced indexing cam threedimensional model is established
The coordinate value of meshing point establishes work profile three-dimensional curve on work profile as obtained by step 3, by Creo
The curve matching function of software, work profile is fitted to curved surface, above-mentioned curved surface is sutured, obtains cam 3D solid mould
Type.
The present invention has the advantages and positive effects of:This method utilizes Creo, ADAMS Dummy modeling copying,
Only the design parameter of dummy model or relative position parameter, which need to be changed, can carry out motion simulation, without establishing physical model, drop
Low experimentation cost, shorten the production cycle, save processing and manufacturing expense;This method is examined for the interference of Design of Globoidal Indexing Cam
Look into and provide data reference, the error correction for fit-up gap compensation and the digital control processing of ferguson cam mechanism provides theory
Foundation, this method incorporation engineering application, kinematics analysis is carried out to ferguson cam mechanism, efficiently, accurately draws motion
Characteristic curve, important reference is provided for the optimization design of later arc surfaced indexing cam.
Brief description of the drawings
Fig. 1 is ferguson cam mechanism Kinematics Simulation method flow diagram;
Fig. 2 is arc surfaced indexing cam transmission mechanism schematic diagram;
Fig. 3 is index dial angular speed kinematics curve;
Fig. 4 is arc surfaced indexing cam modeling method flow chart;
Fig. 5 is ferguson cam mechanism schematic diagram;
Fig. 6 is arc surfaced indexing cam work profile three-dimensional curve diagram;
Fig. 7 is arc surfaced indexing cam work profile fitting sterogram;
Fig. 8 is arc surfaced indexing cam three-dimensional model diagram.
Embodiment
In order to further understand the content, features and effects of the present invention, hereby enumerating following examples, and coordinate accompanying drawing
Describe in detail as follows:
Refer to Fig. 1 to Fig. 3, a kind of ferguson cam mechanism Kinematics Simulation side based on Creo, ADAMS environment
Method, comprise the following steps:
Step 1, based on Creo softwares, establish ferguson cam mechanism model of parts and assemble, with * .x_t form
Preserve output;
Fig. 4 to Fig. 8 is referred to, arc surfaced indexing cam modeling method in the ferguson cam mechanism based on Creo, by such as
Lower step is carried out:
Step 1-1, the foundation of cambered surface cam mechanism coordinate system:The fixed coordinate system of ferguson cam mechanism is established respectively
O1-X1Y1Z1With fixed coordinate system O2-X2Y2Z2, fixed coordinate system O1-X1Y1Z1Origin O1It is fixed at cam revolving center
Coordinate system O2-X2Y2Z2Origin O2At the center of rotation of index dial;Wherein fixed coordinate system O1-X1Y1Z1Middle reference axis X1
Be oriented parallel to O2O1And with it in the same direction, Z1Direction determine that the i.e. right hand holds camshaft by the right-hand rule, four refer to point to
Cam steering is identical, and now thumb direction is Z1Direction;Fixed coordinate system O2-X2Y2Z2Middle reference axis X2Direction it is parallel
In O2O1And with its cocurrent and parallel in O2O1And with it in the same direction, Y2Be oriented parallel to Z1It is and in the same direction with it;Establish moving coordinate system o1-
x1y1z1With moving coordinate system o2-x2y2z2, moving coordinate system o1-x1y1z1It is fixed on cam and is rotated with the rotation of cam, moving axes
It is o1-x1y1z1Origin o1At the center of rotation of cam, moving coordinate system o1-x1y1z1Reference axis x1、y1、z1Inceptive direction
Respectively with fixed coordinate system O1-X1Y1Z1Reference axis X1、Y1、Z1It is identical;Moving coordinate system o2-x2y2z2Be fixed on index dial and with point
The rotation of scale and rotate, moving coordinate system o2-x2y2z2Origin o2At the center of rotation of index dial, moving coordinate system o2-
x2y2z2Reference axis x2Rotation axis collinear with indexing disc rotor No.2, direction is by o2Point to indexing disc rotor No.2, reference axis
z2Parallel to Z2It is and in the same direction with it;When angular displacement of the cam is θ, x1With X1Between angle be θ;x2With X2Between angle
For;
Step 1-2, the RPY rotating coordinate transformation matrixes established between coordinate system:
Moving coordinate system o1-x1y1z1In position fixing system O1-X1Y1Z1In RPY rotating coordinate transformation matrixes be:Wherein s θ represent sin θ, and c θ represent cos θ, and remaining is similarly;Moving coordinate system o2-x2y2z2Fixed
Coordinate system O2-X2Y2Z2In RPY rotating coordinate transformation matrixes be:Position fixing system O2-X2Y2Z2
Position fixing system O1-X1Y1Z1In RPY rotating coordinate transformation matrixes be
Step 1-3, establish the coordinate transform constraint equation of arc surfaced indexing cam meshing point and solve
Establish meshing point P on index dial2In position fixing system O2-X2Y2Z2In coordinate transform constraint equation:
Wherein,For the meshing point P on index dial2In moving coordinate system o2-x2y2z2In rectangular co-ordinate value;
Establish meshing point P on index dial2In position fixing system O1-X1Y1Z1In coordinate transform constraint equation
P1=R (X1,90°)·P2+T (2)
Wherein, P1It is the meshing point on cam in position fixing system O1-X1Y1Z1In expression, For P1In moving coordinate system o1-x1y1z1In coordinate
Value;T=[- | O1O2| 0 0]T=[- a 0 0], a are cam center with indexing the distance between disk center;
Coordinate transform constraint equation (1) is brought into (2), solution matrix equation, obtains meshing point on cam work profile
Coordinate value:
Step 1-4, arc surfaced indexing cam threedimensional model is established
The coordinate value of meshing point establishes work profile three-dimensional curve on work profile as obtained by step 3, by Creo
The curve matching function of software, work profile is fitted to curved surface, above-mentioned curved surface is sutured, obtains cam 3D solid mould
Type.
Step 2, the assembling models of the * .x_t forms in step 1 imported in ADAMS softwares, and add model attributes, built
Vertical ferguson cam mechanism simulation virtual PM prototype model, as shown in Figure 2:2.1) added material attribute:Cambered surface point is set respectively
The material properties for spending cam and index dial are steel;2.2) kinematic pair is added:It is special according to the motion of ferguson cam mechanism
Property, in ADAMS/View modules, with 2Bodies-1Location method, respectively in arc surfaced indexing cam and index dial
Upper to set revolute pair R1 and R2 respectively, revolute pair R1 and R2 is both with respect to fixed gantry rotation;2.3) addition driving:Addition rotation
Turn driving MOTION_1 in revolute pair R1, MOTION_1 direction is consistent with the steering of arc surfaced indexing cam, sets rotation driving
Rotating speed beThe period of motion of arc surfaced indexing cam transmission mechanism is set as 12s;2.4) rigid body contact force is added:Point
Do not choose the roller of arc surfaced indexing cam and index dial successively, add contact force CONTACT_1, contact type choosing therebetween
Rigid body is selected to rigid body (Solid to Solid);
Step 3, with ADAMS/Simulation modules the ferguson cam mechanism that is established in step 2 is emulated it is empty
Intend PM prototype model and carry out simulation parameter setting, and carry out Kinematics Simulation:1) Simulation Control parameter is set, sets Kinematics Simulation
Simulation time be 24s, kinematic calculation step-length is 5000, and simulation type is static balance state;
Step 4, output campaign simulation result:Arc surfaced indexing cam is established in ADAMS/PostProcessor modules
The angular speed kinematics curve of index dial in mechanism, as shown in figure 3, and preserving output with * .GIF forms.
It is described above to be only the preferred embodiments of the present invention, any formal limitation not is made to the present invention,
Every technical spirit according to the present invention belongs to any simple modification made for any of the above embodiments, equivalent variations and modification
In the range of technical solution of the present invention.
Claims (2)
- A kind of 1. ferguson cam mechanism Kinematics Simulation method based on Creo, ADAMS environment, it is characterised in that:Including Following steps:Step 1, the arc surfaced indexing cam model, index dial model and rolling for establishing based on Creo softwares ferguson cam mechanism Submodel, and assemble, output is preserved with * .x_t form;Step 2, the assembling models of the * .x_t forms in step 1 imported in ADAMS softwares, and add model attributes, establish arc Face indexing cam mechanism simulation virtual PM prototype model;2.1) added material attribute:Arc surfaced indexing cam and index dial are set respectively Material properties be steel;2.2) kinematic pair is added:According to the kinetic characteristic of ferguson cam mechanism, in ADAMS/View In module, with 2Bodies-1Location method, revolute pair is set respectively on arc surfaced indexing cam and index dial respectively R1 and R2;2.3) addition driving:It is convex in revolute pair R1, MOTION_1 direction and arc indexing to add rotation driving MOTION_1 The steering of wheel is consistent;2.4) rigid body contact force is added:The roller for choosing arc surfaced indexing cam and index dial is taken up in order of priority, at both Between add contact force CONTACT_1;Step 3, with ADAMS/Simulation modules to the ferguson cam mechanism simulation virtual sample that is established in step 2 Machine model carries out simulation parameter setting, and carries out Kinematics Simulation:3.1) Simulation Control parameter is set, to arc surfaced indexing cam machine Simulation time, material calculation, the simulation type of structure are set;Step 4, output campaign simulation result:Ferguson cam mechanism is established in ADAMS/PostProcessor modules The angular speed kinematics curve of middle index dial, and preserved and exported with * .GIF forms.
- 2. the ferguson cam mechanism Kinematics Simulation method according to claim 1 based on Creo, ADAMS environment, It is characterized in that:Based on the modeling method of Creo software arc surfaced indexing cams, carry out as follows:Step 1-1, the foundation of cambered surface cam mechanism coordinate system:The fixed coordinate system O of ferguson cam mechanism is established respectively1- X1Y1Z1With fixed coordinate system O2-X2Y2Z2, fixed coordinate system O1-X1Y1Z1Origin O1It is fixed to sit at cam revolving center Mark system O2-X2Y2Z2Origin O2At the center of rotation of index dial;Wherein fixed coordinate system O1-X1Y1Z1Middle reference axis X1's It is oriented parallel to O2O1And with it in the same direction, Z1Direction determine that the i.e. right hand holds camshaft by the right-hand rule, four refer to point to it is convex Rotate to identical, now thumb direction is Z1Direction;Fixed coordinate system O2-X2Y2Z2Middle reference axis X2Be oriented parallel to O2O1And with its cocurrent and parallel in O2O1And with it in the same direction, Y2Be oriented parallel to Z1It is and in the same direction with it;Establish moving coordinate system o1- x1y1z1With moving coordinate system o2-x2y2z2, moving coordinate system o1-x1y1z1It is fixed on cam and is rotated with the rotation of cam, moving axes It is o1-x1y1z1Origin o1At the center of rotation of cam, moving coordinate system o1-x1y1z1Reference axis x1、y1、z1Inceptive direction Respectively with fixed coordinate system O1-X1Y1Z1Reference axis X1、Y1、Z1It is identical;Moving coordinate system o2-x2y2z2Be fixed on index dial and with point The rotation of scale and rotate, moving coordinate system o2-x2y2z2Origin o2At the center of rotation of index dial, moving coordinate system o2- x2y2z2Reference axis x2Rotation axis collinear with indexing disc rotor No.2, direction is by o2Point to indexing disc rotor No.2, reference axis z2Parallel to Z2It is and in the same direction with it;When angular displacement of the cam is θ, x1With X1Between angle be θ;x2With X2Between angle For;Step 1-2, the RPY rotating coordinate transformation matrixes established between coordinate system:Moving coordinate system o1-x1y1z1In position fixing system O1-X1Y1Z1In RPY rotating coordinate transformation matrixes be:Wherein s θ represent sin θ, and c θ represent cos θ, and remaining is similarly;Moving coordinate system o2- x2y2z2 is fixed Coordinate system O2-X2Y2Z2In RPY rotating coordinate transformation matrixes be:Position fixing system O2-X2Y2Z2 In position fixing system O1-X1Y1Z1In RPY rotating coordinate transformation matrixes beStep 1-3, establish the coordinate transform constraint equation of arc surfaced indexing cam meshing point and solveEstablish meshing point P on index dial2In position fixing system O2-X2Y2Z2In coordinate transform constraint equation:<mrow> <msub> <mi>P</mi> <mn>2</mn> </msub> <mo>=</mo> <mi>R</mi> <mrow> <mo>(</mo> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>,</mo> <mi>&phi;</mi> <mo>)</mo> </mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msup> <mi>x</mi> <mo>&prime;</mo> </msup> </mtd> </mtr> <mtr> <mtd> <msup> <mi>y</mi> <mo>&prime;</mo> </msup> </mtd> </mtr> <mtr> <mtd> <msup> <mi>z</mi> <mo>&prime;</mo> </msup> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msup> <mi>c&phi;x</mi> <mo>&prime;</mo> </msup> <mo>-</mo> <msup> <mi>s&phi;y</mi> <mo>&prime;</mo> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msup> <mi>s&phi;x</mi> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <mi>c&phi;y</mi> <mo>&prime;</mo> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <msup> <mi>z</mi> <mo>&prime;</mo> </msup> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>Wherein,For the meshing point P on index dial2In moving coordinate system o2-x2y2z2In rectangular co-ordinate value;Establish meshing point P on index dial2In position fixing system O1-X1Y1Z1In coordinate transform constraint equationP1=R (X1,90°)·P2+T (2)Wherein, P1It is the meshing point on cam in position fixing system O1-X1Y1Z1In expression, For P1In moving coordinate system o1-x1y1z1In coordinate Value;T=[- | O1O2| 0 0]T=[- a 0 0], a are cam center with indexing the distance between disk center;Coordinate transform constraint equation (1) is brought into (2), solution matrix equation, obtains the seat of meshing point on cam work profile Scale value:<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>x</mi> <mo>=</mo> <msup> <mi>c&theta;c&phi;x</mi> <mo>&prime;</mo> </msup> <mo>-</mo> <msup> <mi>c&theta;s&phi;y</mi> <mo>&prime;</mo> </msup> <mo>-</mo> <msup> <mi>z</mi> <mo>&prime;</mo> </msup> <mi>s</mi> <mi>&theta;</mi> <mo>-</mo> <mi>a</mi> <mi>c</mi> <mi>&theta;</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>y</mi> <mo>=</mo> <mo>-</mo> <msup> <mi>s&theta;c&phi;x</mi> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <mi>s&theta;s&phi;y</mi> <mo>&prime;</mo> </msup> <mo>-</mo> <msup> <mi>z</mi> <mo>&prime;</mo> </msup> <mi>c</mi> <mi>&theta;</mi> <mo>+</mo> <mi>a</mi> <mi>s</mi> <mi>&theta;</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>z</mi> <mo>=</mo> <msup> <mi>s&phi;x</mi> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <mi>c&phi;y</mi> <mo>&prime;</mo> </msup> </mrow> </mtd> </mtr> </mtable> </mfenced>Step 1-4, arc surfaced indexing cam threedimensional model is establishedThe coordinate value of meshing point establishes work profile three-dimensional curve on work profile as obtained by step 3, by Creo softwares Curve matching function, will work profile be fitted to curved surface, above-mentioned curved surface is sutured, obtains cam three-dimensional entity model.
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CN113010970B (en) * | 2019-12-20 | 2023-07-14 | 上海烟草机械有限责任公司 | Cam design method based on CREO three-dimensional software |
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CN113158377B (en) * | 2021-04-28 | 2023-01-24 | 山东科技大学 | Cambered surface indexing cam model creation and transmission performance optimization design method and CAD (computer-aided design) optimization design system |
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